1. The area of a door opening is 9,5% more than the area of a bedroom window. Calculate, in metres, the width of the door opening.

Here are the solutions to the problems: 1.2.1 Calculate, in metres, the width of the door opening. Step 1: Calculate the area of a bedroom window. The dimensions of the windows are 170 cm × 140 cm. Convert centimeters to meters: 170 cm = 1.70 m and 140 cm = 1.40 m. Area_window = 1.70 m × 1.40 m = 2.38 m^2 Step 2: Calculate the area of the door opening. The area of a door opening is 9.5\% more than the area of a bedroom window. Area_door = Area_window × (1 + 0.095) Area_door = 2.38 m^2 × 1.095 = 2.6051 m^2 Step 3: Calculate the width of the door opening. The height of the door opening is 2.14 m. Using the formula Area = length × width (or height × width): Width_door = Area_doorHeight_door Width_door = 2.6051 m^22.14 m = 1.217336... m Rounding to two decimal places: Width_door = 1.22 m 1.2.2 Verify whether Nikwe's statement is CORRECT. Step 1: Calculate the total area to be painted. The total surface area of the inside walls of the two rooms is 54.28 m^2. She applies two coats of paint. Total area to paint = 54.28 m^2 × 2 = 108.56 m^2 Step 2: Calculate the total volume of paint needed. The spread rate is 3 m^2/litre. Volume of paint needed = Total area to paintSpread rate Volume of paint needed = 108.56 m^23 m^2/litre = 36.186... litres Rounding to two decimal places: Volume of paint needed ≈ 36.19 litres Step 3: Verify Nikwe's statement. Nikwe stated that she will need exactly 5 buckets. For this statement to be correct, 5 buckets must contain 36.19 litres of paint. This would mean each bucket contains 36.19 litres ÷ 5 = 7.238 litres. Since 7.238 litres is not a standard, commonly available bucket size (e.g., 1L, 2.5L, 5L, 10L), Nikwe's statement is likely incorrect in a practical sense. If she buys 5 buckets of a common size (e.g., 5L), she will only have 25 litres, which is not enough. Nikwe's statement is INCORRECT 1.2.3 Verify whether the invoice is CORRECT. Step 1: Calculate the painter's earnings for Friday. Normal labour charge: R75.90 per hour. He works 6 hours on Friday. Friday earnings = 75.90 R/hour × 6 hours = 455.40 R Step 2: Calculate the painter's hourly rate for Saturday. On Saturday, he charges 50\% more than the normal rate. Saturday hourly rate = 75.90 R/hour × (1 + 0.50) = 75.90 R/hour × 1.50 = 113.85 R/hour Step 3: Calculate the painter's earnings for Saturday. He works 6 hours on Saturday. Saturday earnings = 113.85 R/hour × 6 hours = 683.10 R Step 4: Calculate the total amount the painter should charge. Total charge = Friday earnings + Saturday earnings Total charge = 455.40 R + 683.10 R = 1138.50 R Step 5: Compare with the invoice amount. The painter's invoice is R1 238. Since R1 138.50 ≠ R1 238, the invoice is not correct. The invoice is INCORRECT Drop the next question! 📸